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Hund's rule and metallic ferromagnetism

Mathematical Physics & Probability

Speaker: Daniel Ueltschi, University of Arizona
Location: 693 Kerr
Start time: Tue, May 17 2005, 3:10PM

The origin of ferromagnetism in metals is an old question that has not received a complete answer to this day. We investigate a model of itinerant electrons in two different bands, interacting via Coulomb repulsion and Hund's rule. In the case of anisotropic on-site exchange interactions, we prove that ground states have macroscopic magnetization, and that there is no energy gap. This is a joint work with J. Froehlich.